Question

Resolver a inequação: (4x-3)/5 - (2x+7)/3 > 2x + 14

Answer 1

Resposta:

$\binom{4x - 3}{5} - \binom{2x + 7}{3} > 2x + 14 \\ 3(4x - 3) - 5(2x + 7) > 30x + 210 \\ 12x - 9 - 10x - 35 > 30x + 210 \\ 2x - 44 > 30x + 210 \\ 2x - 30x > 210 + 44 \\ - 28x > 254 \\ x < - \frac{ 127}{14}$

Answer 2

Olá...

(4x - 3)/5 - (2x + 7)/3 > 2x + 14⇒o mmc de 5,3 = 15

3(4x - 3) - 5(2x + 7) > 30x + 210

12x - 9 - 10x - 35 > 30x + 210

2x - 44 > 30x + 210

2x - 30x > 210 + 44

- 28x > 254 ⇒( - 1)

28x < - 254

x < - 254/28 ÷ 2

x < - 127/14

x ∈ |R /x < - 127/14

Bons estudos.